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Autumn 2011 IERG5154 Information Theory
Page history
last edited
by sidjaggi 12 years, 5 months ago
Welcome to IERG5154 Information Theory!
Final Paper
Here are some official documents provided by the University. Please read them in advance.
Student/Faculty Expectations on Teaching and Learning
http://www.erg.cuhk.edu.hk/ergintra/upload/documents/StaffStudentExpectations.pdf
Academic honesty and plagiarism
Attention is drawn to University policy and regulations on honesty in academic work, and to the disciplinary guidelines and procedures applicable to breaches of such policy and regulations. Details may be found at http://www.cuhk.edu.hk/policy/academichonesty/ . With each assignment, students will be required to submit a statement that they are aware of these policies, regulations, guidelines and procedures.

Course Information
Instructor: Professor Sidharth (Sid) JAGGI
jaggi@ie.cuhk.edu.hk
http://staff.ie.cuhk.edu.hk/~sjaggi/
Calendar: http://calendar.jaggi.name
TA: Fan CHENG,
cf008@ie.cuhk.edu.hk
Office Hour: Monday 2:003:00, SHB729
Time and Location: T 2:305:15pm SHB 833
Learning resources for students
Related courses
1. 1st Sem: IERG6120 (Network Information Theory)
2. 2nd Sem: IERG6130 (Network coding)
Course Title: IEG 5154 Information Theory

Description: The course aims to cover
 Fundamental definitions of information measure (entropy, conditional entropy, mutual information) and their properties.
 Lossless Source Coding/Data Compression  theory and algorithms
 Channel Coding/ErrorCorrecting Codes/Coding theory
 Ratedistortion theory.

Miscellaneous advanced topics depending on time and interest (Kolmogorov Complexity, Universal Portfolio Theory, Network Coding, ...)

Content, highlighting fundamental concepts (not necessarily in the chronological order we will use in classroom discussions)
Topic

Contents/fundamental concepts

 Information theoretic quantities

 Entropy, conditional entropy, mutual information, divergence, differential entropy, Markov/ergodic sources, properties (chain rules, positivity, convexity, Jensen's inequality, Fano's inequality, conditioning, data processing inequality, Law of large numbers, Sanov's theorem, AEP, entropy rates)
 Achievability and converse proofs, Kraft inequality, codes  ShannonFanoElias, Huffman, Arithmetic, LempelZiv (universal codes)
 Hamming codes, channel capacity (achievability and converse proofs), zeroerror capacity, joint sourcechannel coding, feedback capacity, Gaussian channels (parallel channels, coloured noise)
 Scalar/vector quantization, ratedistortion theorem (achievability and converse)

Learning outcomes:
 Demonstrate ability to manipulate basic informationtheoretic quantities to prove relevant theorems.
 Demonstrate understanding of foundational topics in information theory, and an ability to use the theoretic tools required to prove corresponding theorems.
 Use the above to characterize and design information storage, manipulation and transmission systems.

Learning activities
Lecture

Problem Sets

Online Activities (Scribe Notes/Discussion)

Homeworks

(hr) in class

(hr) in/out class

(hr) out of class

(hr) out of class

36

0

36

12

12

6

15

0

M

O

M

O

M

O

M

O

M: Mandatory activity in the course
O: Optional activity
NA: Not applicable
Assessment scheme
Task nature

Description

Weight

Problem sets
Homework
Scribe Notes
Class participation
Final Exam

Inclass problems, handed in next class
Collaborative homework
Scribe notes of a particular lecture
Inclass discussion/Discussion on wiki
Examination

20% (8)
20% (4)
20% (2)
15%
25%

Homework Policy: Answer all the questions according to the lecture progress and hand in them in the next class.
The weekly problem set is cancelled.
Feedback for evaluation:
Class evaluations
Students are welcome to express their comments and suggestions via the following formal and informal feedback channels:
 Two course evaluations. First one to be conducted in the middle of the term and the second one at the end of the term. Students are encouraged to provide specific comments and/or suggestions in addition to the numeric ratings.
 At the end of each lecture there will be a single question feedback slip given to each student.
 Students are also encouraged to provide feedbacks using informal channels, such as email/discussion to instructor/tutor, and via the talk pages on the class wiki.
Tentative Course Schedule (will edit as we go along)
DATE 
TOPIC 
READINGS 

Logistics/Introduction. Basic probability theory. Worstcase compression. Binary trees. 


Method of types, typical/atypical sets, sizes/probabilities, Sanov's Theorem 
11.111.5, Cover/Thomas 

Sanov's Theorem  Achievability/Converse of Source Coding Theorem

11.111.5, 2.12.6, 2.8, 2.10, Cover/Thomas 

Entropy definitions in terms of typical sets, properties. 
11.111.5, 2.12.6, 2.8, 2.10, Cover/Thomas 

Properties of entropytype functions. 
2.12.6, 2.8, 2.10, Cover/Thomas 

Informationtheoretic proof of Source Coding Theorem 
7.17.7, 7.9, Cover/Thomas 

Discussion of Channel Coding Theorem 
7.17.7, 7.9 Cover/Thomas 

Proof of Channel Coding Theorem 
7.67.7,7.9 Cover/Thomas 

Classifications and Properties of PerSymbol Source Coding Schemes 
5.15.5 Cover/Thomas 

Shannon Code, Huffman Code 
5.6 Cover/Thomas 

Entropy Rates of a Stochastic Process 
4 Cover/Thomas 

Arithmetic Codes, Weak Typicality 
5.9, 13.3, 3 Cover/Thomas 



















































Lectures/Problem Sets/Homeworks/...
Important Announcements:
Item

Date

Topic

Author

Details

Homework 1

2011/09/30 


We update the description of problem 1 in homework 1

Lecture on 10/4

2011/10/03



We will have lecture on 2011/10/04

Final

2011/11/22



The takehome final will start at 11:59 a.m. Friday, 2011/12/16. The duration is 24 hours.

Course Review

2011/11/22



We will have a class at 2 p.m.5 p.m. Thursday, 2012/12/08. Room833

Final

2011/12/12


cheng fan

The final will last for 72 hours from Friday noon (11:59 a.m.) to Monday noon (11:59 a.m.).
It is open notes/book  cover/thomas, closed internet/collaboration.



















































Scribe Notes Schedule:
Week 
Tuesday 

1 


2 
Siyao, WANG Limin


3 
Yang liu , Zirui Zhou, Chi Zhang, WONG Pak Kan


4 
LEONG Ho Ka, CHAN Chun Lam, FONG Cheuk Man Manson


5 
YE Jihang, FENG Yiyong


6 
Yuen Piu Hung, Wang Qike, LIU Zhongchang


7 
Yichao Li, Jiang Yunxiang


8 
Yip Kit Sang Danny, Lee Chin Ho,


9 
TANG Wanrong, YAO Leiyi, Hu Xihao


10 
CAI Sheng, TU Jinlong ,Zhan Lei 

11 
LU Lian, BI Suzhi Wu Xixuan, LU Tan


12 
Luk Hon tung


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Autumn 2011 IERG5154 Information Theory

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Comments (14)
sidjaggi said
at 6:01 pm on Oct 4, 2011
Two comments/classes of comments stood out today.
One pointed out that the workload is perhaps unreasonable  in particular, requiring every problem set to be turned in (in addition to scribe notes/homeworks/exam) is a lot.
henceforth, you don't need to turn in problem sets  the grades for problem sets will be redistributed to the homeworks.
the second class of comments, which is a reprise of comments i've seen before as well, is that many of you would like me to also formally write down definitions/statements/theorems/etc.
valid point. my own style tends to be to wax eloquent about the intuition verbally, and get carried away, and forget to write things down. this can be a disadvantage when it comes to abstract concepts. i'll try to keep this in mind, but whenever i forget, i'm going to request that those of you who find this problem, please raise your hand and gently request that i write down the appropriate definition/formula/whatever...
others liked the review/intuition/etc. i liked that you liked it :)
thanks for the feedback, and please keep it coming!
sidjaggi said
at 10:30 pm on Oct 5, 2011
On further thought, instead of jus cancelling the problem sets, we'll substitute it with a twohour inclass midterm on the 25th of October.
Shiney Wanrong TANG said
at 5:03 pm on Oct 10, 2011
Dear prof,
Actually, most of us would prefer to hand in problem sets rather than have a midterm exam. In addition, we have already handed in two or three sets.
Regards,
Wanrong
ZhanLei_Jacky said
at 5:08 pm on Oct 10, 2011
Hmm, I think so, too~~
ZhanLei_Jacky said
at 6:00 pm on Oct 10, 2011
I mean I prefer problem sets~~
Jiang Yunxiang said
at 6:54 pm on Oct 10, 2011
I agree
sidjaggi said
at 1:46 am on Oct 11, 2011
hmm, ok, let's do it this way. Those who prefer problem sets can continue to do problem sets instead of the midterm. Those who prefer the midterm can do the midterm in lieu of the problem set. You have to (inclass) tell the TA which you'd prefer.
The midterm will nonetheless occur on the 25th (since I'm traveling that week anyway, and will not be able to teach then  the TA will do a 45minute inclass review session, followed by a 2 hour midterm for those who want it).
sidjaggi said
at 1:48 am on Oct 11, 2011
Also, even if you choose the midterm, but like turning in problem sets since they give you more practice, we'd be happy to look at them and grade them for you (without those grades changing your score).
Chin Ho Lee said
at 5:19 pm on Oct 10, 2011
I'd prefer midterm...
sidjaggi said
at 2:36 pm on Oct 7, 2011
A mistake, and a glaring omission, in my discussion on Tuesday. Anyone who emails me with both before the next class gets an automatic grade bump... ;)
Yip Kit Sang Danny said
at 12:04 pm on Dec 16, 2011
Where is the final exam paper?
sidjaggi said
at 2:03 pm on Dec 16, 2011
Just updated Q1 of final to make part a easier (1400 hours Friday)
Xihao said
at 3:17 pm on Dec 16, 2011
For question 1:
Where does the F_2 come from?
Whether c is positive or negative in formula 12^{cmn}?
Three subquestions have point 2, point 3 and point 3, but their sum is 7 points!
sidjaggi said
at 5:02 pm on Dec 16, 2011
Thanks for pointing those out. Updated question paper with corresponding (minor) changes. In particular:
1. F_2 is the binary field. As the question says, your are expected to use a binary linear code.
2. c is positive.
3. Good point(s :) Corrected. Total points now 8.
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